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Finding the Fourth Proportional to 5,778.70, 8,664.13 and 2,266.50

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Solution

The fourth proportional to 5,778.70, 8,664.13 and 2,266.50 is: 3,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.70 : 8,664.13 = 2,266.50 : x
  2. Step 2: Convert to fraction form
    5,778.70/8,664.13 = 2,266.50/x
  3. Step 3: Cross multiply
    5,778.70x = 8,664.13 × 2,266.50
  4. Step 4: Simplify right side
    5,778.70x = 19,637,250.65
  5. Step 5: Solve for x
    x = 19,637,250.65/5,778.70
  6. Step 6: Final answer
    x = 3,398.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.